Metrics for math.cube on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (14%)

Results

974.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 488.0ms (74.7% of total)

ival-add: 99.0ms (15.2% of total)

ival-sub: 55.0ms (8.4% of total)

const: 8.0ms (1.2% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess256.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

2576×	`+-lowering-+.f64`
2576×	`+-lowering-+.f32`
1618×	`fnmadd-define`
1464×	`-lowering-.f32`
1464×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	137	86
2	397	78
3	1838	62
4	7895	60
0	11	15
1	30	14
2	66	13
3	179	10
4	482	9
5	2059	8
6	3275	8
7	7650	8
0	8110	8

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Call 2

Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))

Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(- (* (* (square x.re) x.im) 3) (pow x.im 3))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(- (* (* (square x.re) x.im) 3) (pow x.im 3))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(- (pow x.im 3) (* (* (square x.re) x.im) 3))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(- (pow x.im 3) (* (* (square x.re) x.im) 3))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(- (* (* (square x.re) x.im) 3) (pow x.im 3))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))
(- (* (* x.re (square x.im)) 3) (pow x.re 3))

Symmetry

(abs x.re)

(negabs x.im)

explain192.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
15	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
14	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

120.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 33.0ms (49.8% of total)

ival-add: 30.0ms (45.3% of total)

ival-sub: 3.0ms (4.5% of total)

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	88.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

85.0%

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

▶

88.8%

(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify168.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	512	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Rules

2236×	`+-lowering-+.f64`
2236×	`+-lowering-+.f32`
1742×	`--lowering--.f32`
1742×	`--lowering--.f64`
1638×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	43	70
2	92	69
3	235	69
4	590	69
5	2258	69
6	3531	69
0	8164	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
x.im
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
x.re
(* x.re 3)
3
(* x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)

Outputs
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
x.im
(- (* x.re (* x.re 3)) (* x.im x.im))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* x.re (* x.re 3))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
x.re
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(- (* x.re x.re) (* x.im x.im))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(+ (* x.re x.im) (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)

localize65.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	94.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.4%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	92.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	94.9%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	accuracy	94.3%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Results

47.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 17.0ms (76.9% of total)

ival-sub: 2.0ms (9.1% of total)

ival-add: 2.0ms (9.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series33.0ms (0.4%)

Counts

10 → 204

Calls

Call 1

Inputs
#<alt (* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (- (* x.re (* x.re 3)) (* x.im x.im))>
#<alt (* x.re (* x.re 3))>
#<alt (* x.re 3)>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (* x.im x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>

Outputs
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
2.0ms	x.re	@	0	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.im	@	0	(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.re	@	0	(* x.re 3)
1.0ms	x.im	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`-lowering-.f32`
470×	`-lowering-.f64`
254×	`+-lowering-+.f64`
254×	`+-lowering-+.f32`
218×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	102	55
0	833	55

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

10 → 122

Calls

Call 1

Inputs
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(* x.im x.im)
(- (* x.re x.re) (* x.im x.im))

Outputs
(+.f64 (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(+.f64 (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) x.im) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(/.f64 (.f64 x.im (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (.f64 x.im (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) x.im) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) x.im)
(+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im)))
(+.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 (.f64 x.im x.im) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(-.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.re #s(literal 3 binary64)) x.re (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))) (.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))) (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)))) (-.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(.f64 (.f64 x.re #s(literal 3 binary64)) x.re)
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.re)
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))
(-.f64 (/.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))) (neg.f64 (+.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (neg.f64 (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (-.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))
(.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))))))
(.f64 (-.f64 (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (.f64 x.re (.f64 x.im x.re)) (.f64 x.re (.f64 x.im x.re)))
(+.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re))
(/.f64 (.f64 x.re (.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re) (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
(-.f64 (/.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(/.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (.f64 x.re (.f64 x.im (*.f64 x.im x.re))) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.im (*.f64 x.im x.re))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (.f64 (+.f64 (.f64 x.re (.f64 x.im (*.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) x.im))
(/.f64 (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
(/.f64 (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) x.im) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 x.im x.im)
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(+.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))))
(+.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)))
(+.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im x.im) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))))
(-.f64 (/.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(-.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(fma.f64 x.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (neg.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))) (-.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)))) (-.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))))
(.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))

simplify252.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
1888×	`fnmadd-define`
1578×	`+-lowering-+.f64`
1578×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))

Outputs
(* 3 (* x.im (pow x.re 2)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))

eval32.0ms (0.4%)

Compiler: Compiled 7311 to 458 computations (93.7% saved)

prune26.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	333	9	342
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	334	10	344

Accuracy

99.9%

Counts

344 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	85.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	92.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	52.4%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	74.2%	(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
	57.8%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
▶	37.1%	(.f64 x.im (/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
	18.8%	(.f64 x.im (/.f64 (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))))
✓	88.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
▶	52.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 399 to 210 computations (47.4% saved)

simplify207.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	cost-diff	0	(.f64 x.im (/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	256	(.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))
✓	cost-diff	384	(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	256	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Rules

2954×	`-lowering-.f32`
2954×	`-lowering-.f64`
2042×	`fma-lowering-fma.f32`
2042×	`fma-lowering-fma.f64`
1692×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	246
1	108	215
2	307	213
3	879	207
4	2678	203
5	7431	203
0	8100	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(- x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(* x.im (* 3 (* x.re x.re)))
x.im
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))
(* x.im x.im)
x.im
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))
-1
(/ (* 3 (/ (* x.re x.re) x.im)) x.im)
(* 3 (/ (* x.re x.re) x.im))
3
(/ (* x.re x.re) x.im)
(* x.re x.re)
x.re
(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
x.im
(/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(* x.re (* x.re (* x.re x.re)))
x.re
(* x.re (* x.re x.re))
(* x.re x.re)
9
(* x.im (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
3

Outputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(.f64 x.im (+.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.re x.re) #s(literal 2 binary64))))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(- x.re x.im)
(-.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(+ (* x.re x.im) (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (* 3 (* x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
x.im
(* 3 (* x.re x.re))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
3
#s(literal 3 binary64)
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(- 0 (* x.im (* x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
0
#s(literal 0 binary64)
(* x.im (* x.im x.im))
(.f64 x.im (.f64 x.im x.im))
x.im
(* x.im x.im)
(*.f64 x.im x.im)
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
(-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) x.im)
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) x.im))
-1
#s(literal -1 binary64)
(/ (* 3 (/ (* x.re x.re) x.im)) x.im)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) x.im)
(* 3 (/ (* x.re x.re) x.im))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)
3
#s(literal 3 binary64)
(/ (* x.re x.re) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
(/.f64 (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
x.im
(/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64)))
(* x.re (* x.re (* x.re x.re)))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
x.re
(* x.re (* x.re x.re))
(.f64 x.re (.f64 x.re x.re))
(* x.re x.re)
(*.f64 x.re x.re)
9
#s(literal 9 binary64)
(* x.im (* x.im (* x.im x.im)))
(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
(* x.im (* x.im x.im))
(.f64 x.im (.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.re (* x.re 3))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize183.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	94.3%	(.f64 x.im (/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓	accuracy	89.8%	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	accuracy	32.9%	(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	accuracy	93.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)
✓	accuracy	91.6%	(.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))
✓	accuracy	85.6%	(/.f64 (*.f64 x.re x.re) x.im)
✓	accuracy	83.0%	(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	90.1%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	92.5%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

132.0ms

256×

valid

Compiler

Compiled 306 to 38 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 41.0ms (66.6% of total)

ival-sub: 8.0ms (13% of total)

ival-add: 7.0ms (11.4% of total)

ival-div: 5.0ms (8.1% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts

21 → 420

Calls

Call 1

Inputs
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))>
#<alt (* x.im (* 3 (* x.re x.re)))>
#<alt (* 3 (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (- 0 (* x.im (* x.im x.im)))>
#<alt (* x.im (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))>
#<alt (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))>
#<alt (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))>
#<alt (* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))>
#<alt (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))>
#<alt (* (* x.re (* x.re (* x.re x.re))) 9)>
#<alt (* (- x.re x.im) x.im)>
#<alt (/ (* x.re x.re) x.im)>
#<alt (/ (* 3 (/ (* x.re x.re) x.im)) x.im)>
#<alt (* x.re (* x.re 3))>

Outputs
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (/ (pow x.re 2) x.im))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)>
#<alt (* -1 x.im)>
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 x.im)>
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))>
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))>
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))>
#<alt (* 3 (/ (pow x.re 2) x.im))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt (* 3 (/ (pow x.re 2) x.im))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>

Calls

105 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	-inf	(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
1.0ms	x.im	@	0	(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
1.0ms	x.re	@	inf	(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
1.0ms	x.re	@	0	(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
1.0ms	x.re	@	0	(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))

rewrite372.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4104×	`/-lowering-/.f32`
4104×	`/-lowering-/.f64`
4004×	`-lowering-.f32`
4004×	`-lowering-.f64`
1894×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	179
1	230	125
2	2023	125
0	8917	125

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 718

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(* x.im (* 3 (* x.re x.re)))
(* 3 (* x.re x.re))
(* x.re x.re)
(- 0 (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
(* x.im x.im)
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))
(* x.im (/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im))))
(/ (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(* (- x.re x.im) x.im)
(/ (* x.re x.re) x.im)
(/ (* 3 (/ (* x.re x.re) x.im)) x.im)
(* x.re (* x.re 3))

Outputs
(+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
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(/.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 x.im x.re))
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(/.f64 (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re x.re) (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) x.im) (+.f64 (.f64 x.re x.re) (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (neg.f64 (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))))) (neg.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im (+.f64 x.im x.re)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) x.im)) (neg.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im (+.f64 x.im x.re)))))
(*.f64 x.im (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) x.im)
(.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(.f64 (/.f64 x.im (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(.f64 (/.f64 x.im (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (+.f64 x.im x.re) (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 (.f64 x.im (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (+.f64 x.im x.re) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (.f64 x.im (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(.f64 (/.f64 (-.f64 x.re x.im) (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (-.f64 x.re x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(.f64 (/.f64 (.f64 x.im (-.f64 x.re x.im)) (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (.f64 x.im (-.f64 x.re x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) x.im) (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im))))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (/.f64 x.im (.f64 x.re x.re))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) x.im)))
(neg.f64 (/.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) x.im)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) x.im))
(/.f64 (*.f64 x.re x.re) x.im)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (*.f64 x.re x.re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x.im (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 1 binary64)) x.im)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im))))
(/.f64 (neg.f64 (.f64 (.f64 x.re x.re) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x.im))
(pow.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x.re (/.f64 x.re x.im))
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) x.im))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (.f64 x.re x.re))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) #s(literal -1 binary64)))
(*.f64 (/.f64 x.re x.im) x.re)
(*.f64 (/.f64 x.re x.im) (/.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re x.re) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re #s(literal -1 binary64)))
(*.f64 (/.f64 x.re #s(literal -1 binary64)) (/.f64 (neg.f64 x.re) x.im))
(*.f64 (/.f64 (neg.f64 x.re) #s(literal -1 binary64)) (/.f64 x.re x.im))
(exp.f64 (.f64 (log.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -3 binary64)) x.im))
(neg.f64 (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -3 binary64)) x.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)) #s(literal 1 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) x.im)
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 1 binary64)) x.im)
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) #s(literal 1 binary64)) (.f64 x.im x.im))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (neg.f64 (*.f64 x.im x.im)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) #s(literal 1 binary64))) (neg.f64 (.f64 x.im x.im)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im))))
(pow.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x.im (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 #s(literal 3 binary64) x.im))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) x.im))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) #s(literal -1 binary64)))
(.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re #s(literal 3 binary64)) x.im))
(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (/.f64 (.f64 x.re x.re) x.im)) x.im))
(.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))
(.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (neg.f64 (/.f64 (.f64 x.re x.re) x.im)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (/.f64 x.re x.im))
(.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (/.f64 (.f64 x.re x.re) x.im)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x.im))
(.f64 (/.f64 (neg.f64 (/.f64 (.f64 x.re x.re) x.im)) x.im) #s(literal -3 binary64))
(.f64 (/.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x.im))
(.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(.f64 (.f64 x.re #s(literal 3 binary64)) x.re)

simplify192.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3314×	`-lowering-.f32`
3314×	`-lowering-.f64`
1956×	`+-lowering-+.f64`
1956×	`+-lowering-+.f32`
1160×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3910
1	624	3055
2	2368	2610
0	8160	2610

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (/ (pow x.re 2) x.im))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)
(* -1 x.im)
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 x.im)
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))
(* 3 (/ (pow x.re 2) x.im))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
(* 3 (/ (pow x.re 2) x.im))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))

Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
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(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))

eval176.0ms (2%)

Compiler: Compiled 38833 to 2825 computations (92.7% saved)

prune119.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1289	12	1301
Fresh	3	1	4
Picked	5	0	5
Done	0	1	1
Total	1297	14	1311

Accuracy

100.0%

Counts

1311 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	8.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) x.im))) (.f64 x.im (*.f64 x.im x.im)))
	88.8%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
▶	21.3%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im)))
▶	51.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	92.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	89.4%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	15.5%	(.f64 (/.f64 x.im (/.f64 (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 81 binary64)) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
	57.8%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶	52.4%	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
	57.8%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
▶	60.5%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
	57.8%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	88.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Compiler

Compiled 529 to 274 computations (48.2% saved)

simplify205.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	cost-diff	1152	(.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))
✓	cost-diff	1152	(.f64 (+.f64 x.im x.re) (.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re)))))
✓	cost-diff	1408	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	cost-diff	256	(/.f64 (*.f64 x.im x.im) x.im)
✓	cost-diff	512	(/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im))
✓	cost-diff	768	(.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im))
✓	cost-diff	768	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.re x.re))
✓	cost-diff	0	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓	cost-diff	-64	(neg.f64 (*.f64 x.im x.im))
✓	cost-diff	-64	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

2934×	`-lowering-.f32`
2934×	`-lowering-.f64`
2078×	`+-lowering-+.f64`
2078×	`+-lowering-+.f32`
1514×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	206
1	129	191
2	400	175
3	1706	171
4	6772	171
0	8152	171

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(- x.re x.im)
(* (* x.re (+ x.im x.im)) x.re)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(* (neg (* x.im x.im)) x.im)
(neg (* x.im x.im))
(* x.im x.im)
x.im
(* (* x.im (* x.re x.re)) 3)
(* x.im (* x.re x.re))
x.im
(* x.re x.re)
x.re
3
(- 0 (* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im)))
0
(* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im))
(/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im))
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
(/ (* x.im x.im) x.im)
(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re)))))
(+ x.im x.re)
x.im
x.re
(* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))
(/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re)))
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
(* x.im x.im)
(- (* x.im x.im) (* x.re x.re))
(/ x.im (/ 1 (- x.im x.re)))
(/ 1 (- x.im x.re))
1
(- x.im x.re)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)

Outputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
(.f64 x.im (+.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(- x.re x.im)
(-.f64 x.re x.im)
(* (* x.re (+ x.im x.im)) x.re)
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(* x.re (+ x.im x.im))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))
(* (neg (* x.im x.im)) x.im)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(neg (* x.im x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (* x.im (* x.re x.re)) 3)
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* x.im (* x.re x.re))
(.f64 x.im (.f64 x.re x.re))
x.im
(* x.re x.re)
(*.f64 x.re x.re)
x.re
3
#s(literal 3 binary64)
(- 0 (* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
0
#s(literal 0 binary64)
(* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im))
(.f64 x.im (.f64 x.im x.im))
(/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im))
(*.f64 x.im x.im)
(* x.im (* x.im (* x.im x.im)))
(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
x.im
(* x.im (* x.im x.im))
(.f64 x.im (.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
(/ (* x.im x.im) x.im)
x.im
(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(.f64 x.im (+.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re)))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
x.re
(* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))
(*.f64 x.im (-.f64 x.re x.im))
(/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x.im x.re)) #s(literal 1 binary64))
(- (* x.re x.re) (* x.im x.im))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
(* x.im x.im)
(*.f64 x.im x.im)
(- (* x.im x.im) (* x.re x.re))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(/ x.im (/ 1 (- x.im x.re)))
(*.f64 x.im (-.f64 x.im x.re))
(/ 1 (- x.im x.re))
(/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))
1
#s(literal 1 binary64)
(- x.im x.re)
(-.f64 x.im x.re)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(+ (* x.re x.im) (* x.im x.re))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)

localize193.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.2%	(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
✓	accuracy	94.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.5%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	52.7%	(/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	52.7%	(/.f64 (*.f64 x.im x.im) x.im)
✓	accuracy	31.0%	(/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓	accuracy	90.1%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.im x.im))
✓	accuracy	99.9%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.7%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	92.5%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Results

110.0ms

256×

valid

Compiler

Compiled 323 to 39 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 28.0ms (50.5% of total)

ival-div: 10.0ms (18% of total)

ival-add: 8.0ms (14.4% of total)

ival-sub: 7.0ms (12.6% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts

22 → 420

Calls

Call 1

Inputs
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))>
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))>
#<alt (+ x.im x.re)>
#<alt (* (- x.re x.im) x.im)>
#<alt (* x.im x.im)>
#<alt (* (neg (* x.im x.im)) x.im)>
#<alt (neg (* x.im x.im))>
#<alt (* (* x.im (* x.re x.re)) 3)>
#<alt (* x.im (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (- 0 (* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im)))>
#<alt (* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im))>
#<alt (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im))>
#<alt (/ (* x.im x.im) x.im)>
#<alt (+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re)))))>
#<alt (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))>
#<alt (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re)))>
#<alt (* (* x.re (+ x.im x.im)) x.re)>
#<alt (* x.im (* x.im x.im))>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (- (* x.im x.im) (* x.re x.re))>

Outputs
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt x.im>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (/ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 2))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))) (* x.im (- (* -1 (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) 1)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 4 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) (+ 1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 4 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))))) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) (pow x.im 3))) (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (* -4 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (+ (* -4 (pow x.re 2)) (* -1 (/ (- (+ (* -1 (pow x.re 3)) (pow x.re 3)) (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re))))) x.im))) (* -1 (pow x.re 2))) x.im)))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (* 4 x.im) x.im)) (pow x.im 2)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (+ (* 4 x.im) (/ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 2))) x.im)) (pow x.im 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)))) (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3))) (* 2 x.im))))) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* (pow x.im 3) (+ x.im (* -1 x.im))) (pow x.re 3)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) x.re))) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (+ (* -2 (pow x.im 3)) (* -1 (/ (- (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* (pow x.im 3) (+ x.im (* -1 x.im)))) x.re))) (* -1 (pow x.im 3))) x.re))) x.re)) (* 2 x.im))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (/ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 2))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))) (* x.im (- (* -1 (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) 1)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) (+ 1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))))) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) (pow x.im 3))) (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (+ (* -2 (pow x.re 2)) (* -1 (/ (- (+ (* -1 (pow x.re 3)) (pow x.re 3)) (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re))))) x.im))) (* -1 (pow x.re 2))) x.im)))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (* 2 x.im) x.im)) (pow x.im 2)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (+ (* 2 x.im) (/ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 2))) x.im)) (pow x.im 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3)))))) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* (pow x.im 3) (+ x.im (* -1 x.im))) (pow x.re 3)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) x.re))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (+ (* -2 (pow x.im 3)) (* -1 (/ (- (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* (pow x.im 3) (+ x.im (* -1 x.im)))) x.re))) (* -1 (pow x.im 3))) x.re))) x.re))))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.re 2))>
#<alt (- (pow x.im 2) (pow x.re 2))>
#<alt (- (pow x.im 2) (pow x.re 2))>
#<alt (- (pow x.im 2) (pow x.re 2))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 2)>
#<alt (+ (* -1 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -1 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -1 (pow x.re 2)) (pow x.im 2))>
#<alt (* -1 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>
#<alt (* -1 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))>

Calls

105 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	inf	(/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re)))
1.0ms	x.im	@	inf	(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	0	(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	inf	(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	0	(* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))

rewrite397.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2672×	`/-lowering-/.f32`
2672×	`/-lowering-/.f64`
2146×	`-lowering-.f32`
2146×	`-lowering-.f64`
1890×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	140
1	279	101
2	2823	101
0	8587	101

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1323

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
(* (- x.re x.im) x.im)
(* x.im x.im)
(* (neg (* x.im x.im)) x.im)
(neg (* x.im x.im))
(* (* x.im (* x.re x.re)) 3)
(* x.im (* x.re x.re))
(* x.re x.re)
(- 0 (* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im)))
(* (/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im)) (/ (* x.im x.im) x.im))
(/ (* x.im (* x.im (* x.im x.im))) (* x.im x.im))
(/ (* x.im x.im) x.im)
(+ (* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re)))))
(* (/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re))) (/ x.im (/ 1 (- x.im x.re))))
(/ (- (* x.re x.re) (* x.im x.im)) (- (* x.im x.im) (* x.re x.re)))
(* (* x.re (+ x.im x.im)) x.re)
(* x.im (* x.im x.im))
(- (* x.re x.re) (* x.im x.im))
(- (* x.im x.im) (* x.re x.re))

Outputs
(+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (/.f64 (.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (-.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.im #s(literal 2 binary64) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
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(/.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)))) (-.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re))))
(/.f64 (.f64 (+.f64 x.im x.re) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) (+.f64 x.im x.re))
(/.f64 (.f64 (+.f64 x.im x.re) (-.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 x.im x.im) (*.f64 x.re (+.f64 x.im x.re))))
(/.f64 (.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (-.f64 x.im x.re)) (+.f64 (.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (neg.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 (+.f64 x.im x.re) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) (neg.f64 (+.f64 x.im x.re)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))))) (neg.f64 (.f64 (-.f64 x.im x.re) (+.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 x.im x.re))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))))) (neg.f64 (.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im))) (+.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 x.im x.re))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (-.f64 x.im x.re))) (-.f64 x.re x.im))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))) (neg.f64 (neg.f64 (+.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))))) (neg.f64 (neg.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))) (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (neg.f64 (+.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)))))) (neg.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (*.f64 x.re x.re)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re))))) (neg.f64 (-.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 (+.f64 x.im x.re) (-.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))))) (neg.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re (+.f64 x.im x.re)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (-.f64 x.im x.re))) (neg.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im)))))
(pow.f64 (/.f64 (+.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (*.f64 x.re x.re))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))) #s(literal -1 binary64))
(*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (neg.f64 (-.f64 x.re x.im)))
(*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(.f64 (-.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(*.f64 (neg.f64 (+.f64 x.im x.re)) (-.f64 x.re x.im))

simplify221.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2062×	`+-lowering-+.f64`
2062×	`+-lowering-+.f32`
1748×	`-lowering-.f32`
1748×	`-lowering-.f64`
1538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	3348
1	1379	2463
2	6275	2331
0	8097	2331

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (/ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 2))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))) (* x.im (- (* -1 (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) 1)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 4 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) (+ 1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 4 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))))) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) (pow x.im 3))) (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (* -4 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (+ (* -4 (pow x.re 2)) (* -1 (/ (- (+ (* -1 (pow x.re 3)) (pow x.re 3)) (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re))))) x.im))) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (* 4 x.im) x.im)) (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (+ (* 4 x.im) (/ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 2))) x.im)) (pow x.im 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)))) (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3))) (* 2 x.im))))) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* (pow x.im 3) (+ x.im (* -1 x.im))) (pow x.re 3)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) x.re))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (+ (* -2 (pow x.im 3)) (* -1 (/ (- (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* (pow x.im 3) (+ x.im (* -1 x.im)))) x.re))) (* -1 (pow x.im 3))) x.re))) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (/ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 2))) (pow x.re 2)))
(* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))))) (pow x.re 2)))
(* x.im (+ (* x.im (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.re 2))) (* x.im (- (* -1 (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) 1)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) (+ 1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))))) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) (pow x.im 3))) (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (- (+ (* -2 (pow x.re 2)) (* -1 (/ (- (+ (* -1 (pow x.re 3)) (pow x.re 3)) (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re))))) x.im))) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (* 2 x.im) x.im)) (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (- (+ (* 2 x.im) (/ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 2))) x.im)) (pow x.im 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (- (+ x.im (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3)))))) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* (pow x.im 3) (+ x.im (* -1 x.im))) (pow x.re 3)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (- (+ (* -2 (pow x.im 3)) (* -1 (/ (- (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* (pow x.im 3) (+ x.im (* -1 x.im)))) x.re))) (* -1 (pow x.im 3))) x.re))) x.re))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.re 2))
(- (pow x.im 2) (pow x.re 2))
(- (pow x.im 2) (pow x.re 2))
(- (pow x.im 2) (pow x.re 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(* -1 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(* -1 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))

Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) x.im)) x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (.f64 x.im (*.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))) (/.f64 #s(literal 0 binary64) x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))) (/.f64 #s(literal 0 binary64) x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re x.re))))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(.f64 x.im (.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
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(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* -1 (pow x.re 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))
(- (pow x.im 2) (pow x.re 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(- (pow x.im 2) (pow x.re 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(- (pow x.im 2) (pow x.re 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(pow x.im 2)
(*.f64 x.im x.im)
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(pow x.im 2)
(*.f64 x.im x.im)
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(+ (* -1 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(* -1 (pow x.re 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* -1 (pow x.re 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 1))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))

eval407.0ms (4.6%)

Compiler: Compiled 63566 to 5200 computations (91.8% saved)

prune489.0ms (5.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	2102	7	2109
Fresh	4	4	8
Picked	3	2	5
Done	0	1	1
Total	2109	14	2123

Accuracy

100.0%

Counts

2123 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	60.5%	(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
▶	88.8%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
▶	60.5%	(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
	54.5%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.im)))
▶	92.3%	(+.f64 (.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	89.4%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	57.8%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
	72.0%	(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x.re) (.f64 x.im (*.f64 x.im x.im))) x.re) x.re)))
✓	52.4%	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
	57.8%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
▶	57.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓	60.5%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	88.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Compiler

Compiled 338 to 217 computations (35.8% saved)

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
✓	cost-diff	128	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
✓	cost-diff	128	(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 (.f64 x.im x.re) x.re)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓	cost-diff	0	(/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
✓	cost-diff	256	(+.f64 (.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

2388×	`fma-lowering-fma.f32`
2388×	`fma-lowering-fma.f64`
1854×	`fma-define`
1484×	`fmsub-define`
1458×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	151
1	78	146
2	176	141
3	505	141
4	1546	137
5	6878	137
0	8445	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))
(* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re))))
(+ x.im x.re)
x.im
x.re
(/ x.im (/ -1 (- x.im x.re)))
(/ -1 (- x.im x.re))
-1
(- x.im x.re)
(* (* x.re (+ x.im x.im)) x.re)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(* (* 3 (* x.im x.re)) x.re)
(* 3 (* x.im x.re))
3
(* x.im x.re)
x.im
x.re
(* (* (* x.im x.re) x.re) 3)
(* (* x.im x.re) x.re)
(* x.im x.re)
x.im
x.re
3
(- 0 (/ x.im (/ 1 (* x.im x.im))))
0
(/ x.im (/ 1 (* x.im x.im)))
x.im
(/ 1 (* x.im x.im))
1
(* x.im x.im)
(/ x.im (/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im))))
x.im
(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
1
(- (* 3 (* x.re x.re)) (* x.im x.im))
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
(* x.im x.im)

Outputs
(+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))
(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))))
(* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re))))
(/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
x.re
(/ x.im (/ -1 (- x.im x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 x.im x.re)))
(/ -1 (- x.im x.re))
(/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))
-1
#s(literal -1 binary64)
(- x.im x.re)
(-.f64 x.im x.re)
(* (* x.re (+ x.im x.im)) x.re)
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(* x.re (+ x.im x.im))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))
(* (* 3 (* x.im x.re)) x.re)
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(* x.im x.re)
(*.f64 x.im x.re)
x.im
x.re
(* (* (* x.im x.re) x.re) 3)
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* (* x.im x.re) x.re)
(.f64 x.im (.f64 x.re x.re))
(* x.im x.re)
(*.f64 x.im x.re)
x.im
x.re
3
#s(literal 3 binary64)
(- 0 (/ x.im (/ 1 (* x.im x.im))))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
0
#s(literal 0 binary64)
(/ x.im (/ 1 (* x.im x.im)))
(.f64 x.im (.f64 x.im x.im))
x.im
(/ 1 (* x.im x.im))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
1
#s(literal 1 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
(/ x.im (/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
x.im
(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
1
#s(literal 1 binary64)
(- (* 3 (* x.re x.re)) (* x.im x.im))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* 3 (* x.re x.re))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)

localize145.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
✓	accuracy	94.9%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	accuracy	94.5%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.re) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	accuracy	99.8%	(*.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
✓	accuracy	99.7%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	99.7%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))
✓	accuracy	92.5%	(+.f64 (.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Results

96.0ms

256×

valid

Compiler

Compiled 180 to 30 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 43.0ms (68.7% of total)

ival-div: 10.0ms (16% of total)

ival-sub: 4.0ms (6.4% of total)

ival-add: 4.0ms (6.4% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts

18 → 372

Calls

Call 1

Inputs
#<alt (+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))>
#<alt (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re))))>
#<alt (+ x.im x.re)>
#<alt (/ x.im (/ -1 (- x.im x.re)))>
#<alt (* (* 3 (* x.im x.re)) x.re)>
#<alt (* 3 (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* (* (* x.im x.re) x.re) 3)>
#<alt (* (* x.im x.re) x.re)>
#<alt (- 0 (/ x.im (/ 1 (* x.im x.im))))>
#<alt (/ x.im (/ 1 (* x.im x.im)))>
#<alt (/ 1 (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (/ x.im (/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im))))>
#<alt (/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))>
#<alt (- (* 3 (* x.re x.re)) (* x.im x.im))>
#<alt (* 3 (* x.re x.re))>
#<alt (* (* x.re (+ x.im x.im)) x.re)>

Outputs
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))>
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#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.im	@	inf	(+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.re	@	0	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
0.0ms	x.im	@	inf	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
0.0ms	x.re	@	inf	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite358.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2186×	`/-lowering-/.f32`
2186×	`/-lowering-/.f64`
1754×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	112
1	175	102
2	1484	102
0	8362	102

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 531

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re)))) (* (* x.re (+ x.im x.im)) x.re))
(* (+ x.im x.re) (/ x.im (/ -1 (- x.im x.re))))
(+ x.im x.re)
(/ x.im (/ -1 (- x.im x.re)))
(* (* 3 (* x.im x.re)) x.re)
(* 3 (* x.im x.re))
(* x.im x.re)
(* (* (* x.im x.re) x.re) 3)
(* (* x.im x.re) x.re)
(- 0 (/ x.im (/ 1 (* x.im x.im))))
(/ x.im (/ 1 (* x.im x.im)))
(/ 1 (* x.im x.im))
(* x.im x.im)
(/ x.im (/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im))))
(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
(- (* 3 (* x.re x.re)) (* x.im x.im))
(* 3 (* x.re x.re))
(* (* x.re (+ x.im x.im)) x.re)

Outputs
(+.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(+.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (/.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (/.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))))
(fma.f64 x.im (.f64 (-.f64 #s(literal 0 binary64) (-.f64 x.im x.re)) (+.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
(fma.f64 (+.f64 x.im x.re) (/.f64 (.f64 x.im (-.f64 x.im x.re)) #s(literal -1 binary64)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (/.f64 (.f64 x.im (-.f64 x.im x.re)) #s(literal -1 binary64)) (+.f64 x.im x.re) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
(fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) x.re (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
(fma.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 #s(literal 0 binary64) (-.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (/.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 #s(literal 0 binary64) x.im)) (-.f64 x.im x.re) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) #s(literal -1 binary64)) (-.f64 x.im x.re) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(fma.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))))) (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))) (-.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))))) (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))) (-.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))) (+.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.im (+.f64 x.im x.re))) (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))) (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) (.f64 (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))))))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.im (+.f64 x.im x.re))) (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (.f64 x.im (+.f64 x.im x.re))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) (.f64 x.re (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))) (neg.f64 (-.f64 (/.f64 (.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))))))
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(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 27 binary64))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 27 binary64))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im (.f64 x.im x.im)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 27 binary64))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im (.f64 x.im x.im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(.f64 (.f64 x.re #s(literal 3 binary64)) x.re)
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re)))
(fma.f64 x.im (.f64 x.re x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 x.re (.f64 x.im x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.re) x.re (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.re) x.im (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))
(.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) x.re)
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

simplify331.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
2210×	`+-lowering-+.f64`
2210×	`+-lowering-+.f32`
1072×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	3070
1	882	2378
2	3327	2251
0	8586	2251

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2)))
(* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.im x.re))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.im x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(/ 1 (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))

Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (pow x.re 2)))
(.f64 x.im (.f64 x.re x.re))
(* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* x.im (+ (* -1 x.im) (* -1 (+ x.re (* -1 x.re))))) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.im x.re))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* x.im x.re))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))))
(.f64 (.f64 x.re x.re) (-.f64 x.im (.f64 x.im (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))))
(.f64 (.f64 x.re x.re) (-.f64 x.im (.f64 x.im (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))
(* x.im (pow x.re 2))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(.f64 x.im (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(.f64 (.f64 x.re x.re) (-.f64 x.im (.f64 x.im (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(.f64 (.f64 x.re x.re) (-.f64 x.im (.f64 x.im (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))
x.re
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
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(/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/9 binary64)) (.f64 x.re x.re))) (.f64 x.re x.re))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) #s(literal 1/27 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/9 binary64)) (.f64 x.re x.re)))) (*.f64 x.re x.re))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) #s(literal 1/27 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/9 binary64)) (.f64 x.re x.re)))) (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/81 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 x.re x.re))
(/ 1/3 (pow x.re 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x.re x.re)) (/.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/9 binary64)) (.f64 x.re x.re)) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/81 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))))))))
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im))) (.f64 x.im x.im))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im)))) (*.f64 x.im x.im))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im)))) (/.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (.f64 x.im x.im))
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im))) (.f64 x.im x.im))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im)))) (*.f64 x.im x.im))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal -3 binary64))) (.f64 x.im x.im)))) (/.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (.f64 x.im x.im))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* -1 (pow x.im 2))
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 3 (pow x.re 2))
(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))

eval115.0ms (1.3%)

Compiler: Compiled 19126 to 1811 computations (90.5% saved)

prune174.0ms (2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	962	6	968
Fresh	4	2	6
Picked	2	3	5
Done	0	3	3
Total	968	14	982

Accuracy

100.0%

Counts

982 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	60.5%	(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
✓	88.8%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
	60.5%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
	60.4%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))
	60.5%	(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
	71.0%	(+.f64 (.f64 x.re (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	57.8%	(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
✓	57.8%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
✓	52.4%	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓	57.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓	60.5%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
	90.1%	(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
✓	88.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Compiler

Compiled 736 to 254 computations (65.5% saved)

regimes41.0ms (0.5%)

Counts

36 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(+.f64 (.f64 x.re (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) x.im))) (.f64 x.im (*.f64 x.im x.im)))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x.re) (.f64 x.im (*.f64 x.im x.im))) x.re) x.re)))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 x.im (/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (/.f64 x.im (/.f64 (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 81 binary64)) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
(.f64 x.im (/.f64 (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))))

Outputs

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re)))))

Calls

3 calls:

18.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
11.0ms	x.re
10.0ms	x.im

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 x.im x.im) (.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))))
(+.f64 (.f64 x.re (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Outputs
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))

Calls

1 calls:

7.0ms

x.re

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))

Outputs
(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)

Calls

2 calls:

19.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
97.1%	3	`x.im`
96.2%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im x.im) (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))

Outputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
82.2%	2	`x.im`
83.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Outputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
80.5%	4	`x.im`
78.3%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)

Outputs
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
60.5%	1	`x.im`
60.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2389605707441786e-130	6.765471649241904e-127

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.661009449920088e-26	6.914285948169975e-25

Results

9.0ms

96×

valid

Compiler

Compiled 218 to 135 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (78.6% of total)

ival-add: 1.0ms (15.7% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.27141008133123e+131	1.3669031471645221e+135

Results

11.0ms

128×

valid

Compiler

Compiled 218 to 143 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (68.2% of total)

ival-sub: 1.0ms (13.6% of total)

ival-add: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.7069130530882106e-26	6.661009449920088e-26

Results

6.0ms

64×

valid

Compiler

Compiled 102 to 67 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (80.9% of total)

ival-add: 1.0ms (27% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.7069130530882106e-26	6.661009449920088e-26

Results

8.0ms

64×

valid

Compiler

Compiled 102 to 67 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (84.1% of total)

ival-add: 1.0ms (16.8% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
26×	`+-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	146
1	89	146
2	107	146
3	125	146
4	136	146
5	140	146
6	141	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re))))))
(if (<=.f64 x.re #s(literal 7404544304199621/10889035741470030830827987437816582766592 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))))
(if (<=.f64 x.re #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.re #s(literal 5400961727769135/87112285931760246646623899502532662132736 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re))))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re))))))
(if (<=.f64 x.re #s(literal 7404544304199621/10889035741470030830827987437816582766592 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re))))))
(if (<=.f64 x.re #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.re #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 5400961727769135/87112285931760246646623899502532662132736 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 5400961727769135/87112285931760246646623899502532662132736 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))

soundness1.6s (18.7%)

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
4104×	`/-lowering-/.f32`
4104×	`/-lowering-/.f64`
4004×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	257	3070
1	882	2378
2	3327	2251
0	8586	2251
0	16	66
1	102	55
0	833	55
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206
0	37	179
1	230	125
2	2023	125
0	8917	125
0	11	15
1	30	14
2	66	13
3	179	10
4	482	9
5	2059	8
6	3275	8
7	7650	8
0	8110	8
0	38	140
1	279	101
2	2823	101
0	8587	101

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 441 to 224 computations (49.2% saved)

preprocess132.0ms (1.5%)

Remove: (abs x.re)
Compiler: Compiled 1054 to 446 computations (57.7% saved)

analyze0.0ms (0%)

sample1.2s (14%)

preprocess256.0ms (2.9%)

explain192.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (1.9%)

localize65.0ms (0.7%)

series33.0ms (0.4%)

rewrite94.0ms (1.1%)

simplify252.0ms (2.9%)

eval32.0ms (0.4%)

prune26.0ms (0.3%)

simplify207.0ms (2.3%)

localize183.0ms (2.1%)

series34.0ms (0.4%)

rewrite372.0ms (4.2%)

simplify192.0ms (2.2%)

eval176.0ms (2%)

prune119.0ms (1.4%)

simplify205.0ms (2.3%)

localize193.0ms (2.2%)

series26.0ms (0.3%)

rewrite397.0ms (4.5%)

simplify221.0ms (2.5%)

eval407.0ms (4.6%)

prune489.0ms (5.6%)

simplify159.0ms (1.8%)

localize145.0ms (1.6%)

series14.0ms (0.2%)

rewrite358.0ms (4.1%)

simplify331.0ms (3.8%)

eval115.0ms (1.3%)

prune174.0ms (2%)

regimes41.0ms (0.5%)

regimes8.0ms (0.1%)

regimes27.0ms (0.3%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.6s (18.7%)

preprocess132.0ms (1.5%)

end0.0ms (0%)

Profiling